Crack propagation criteria for the crack terminating on the interface of a thin orthotropic layer and an orthotropic substrate.

Crack propagation criteria for the crack terminating on the interface of a thin orthotropic layer and an orthotropic substrate.

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The contribution discusses possible approach for the formulation of fracture criteria for the general stress concentrators – especially a surface crack terminating at the interface of two dissimilar orthotropic media. The classical differential analysis is unsuitable due to the discontinuity in the elastic properties which leads on the interface to a zero or infinite energy release rates. Theory of the Finite Fracture Mechanic is used to overcome this problem (crack increase of finite length is used instead of the infinitesimal one). The three possibilities of the crack propagation are taken into the consideration – crack deflection (single or double) and a penetration of the crack across the interface into the substrate. The so-called matched asymptotic procedure in combination with FEM is used for the calculation of appropriate changes of potential energy caused by the fracture.

The contribution discusses possible approach for the formulation of fracture criteria for the general stress concentrators – especially a surface crack terminating at the interface of two dissimilar orthotropic media. The classical differential analysis is unsuitable due to the discontinuity in the elastic properties which leads on the interface to a zero or infinite energy release rates. Theory of the Finite Fracture Mechanic is used to overcome this problem (crack increase of finite length is used instead of the infinitesimal one). The three possibilities of the crack propagation are taken into the consideration – crack deflection (single or double) and a penetration of the crack across the interface into the substrate. The so-called matched asymptotic procedure in combination with FEM is used for the calculation of appropriate changes of potential energy caused by the fracture.

The contribution discusses possible approach for the formulation of fracture criteria for the general stress concentrators – especially a surface crack terminating at the interface of two dissimilar orthotropic media. The classical differential analysis is unsuitable due to the discontinuity in the elastic properties which leads on the interface to a zero or infinite energy release rates. Theory of the Finite Fracture Mechanic is used to overcome this problem (crack increase of finite length is used instead of the infinitesimal one). The three possibilities of the crack propagation are taken into the consideration – crack deflection (single or double) and a penetration of the crack across the interface into the substrate. The so-called matched asymptotic procedure in combination with FEM is used for the calculation of appropriate changes of potential energy caused by the fracture.

crack propagation criteria, deflection, interface, anisotropic

crack propagation criteria, deflection, interface, anisotropic

2007

15.05.2007

Institute of thermomechanics Academy of science of the Czech Republic

Prague

978-80-87012-06-2

Engineering Mechanics 2007

1

271–272

2